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DIA [1.3K]
4 years ago
5

Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)- log7(x)=2

Mathematics
2 answers:
Misha Larkins [42]4 years ago
6 0
To solve the give logarithm we proceed as follows;
log7(3x^3+x)-log7(x)=2
this can be written as:
log7[(3x^3+x)/(x)]=2

but;
log7(49)=2
thus;
log7(3x^3+x)/x=log7(49)
hence canceling log7 we get:
(3x^3+x)/x=49
This can be simplified further to get:
3x^2+1=49
3x^2=49-1
3x^2=48
x^2=48/3
x^2=16
getting the square root of both sides we get:
x=4
the answer is x=4
Gwar [14]4 years ago
4 0

Answer:

its -4 not 4

Step-by-step explanation:

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DU
Grace [21]

Answer:

a    true

b   false

c.    false

d.   true

e.    false

f.   true

Step-by-step explanation:

The function is y =35+8x where x is the number of items sold and y is the earnings

To determine if the point is on the graph substitute the point in and see if it is true

a (7,91)

91 = 35+ 8(7)

91 = 35+ 56  

91 = 91   true

b(11, 121)

121 = 35+ 8(11)

121 = 35+ 88  

121 = 123   false

c. (9, 110)

110 = 35+ 8(9)

110 = 35+ 72  

110 = 107   false

d. (4,67)

67 = 35+ 8(4)

67 = 35+ 32  

67 = 67   true

e. (5,72)

72 = 35+ 8(5)

72 = 35+ 40  

72 = 75   false

f. (3, 59)

59 = 35+ 8(3)

59 = 35+ 24  

59 = 59   true

8 0
4 years ago
A housekeeper was earning $9.50 an hour before a
Degger [83]

Answer:

raise = $0.76

new wage = $10.26 per hour

Step-by-step explanation:

8% in decimal form = 8/100 = 0.08

To find 8% of 9.50:  0.08 x 9.50 = 0.76

Therefore, the housekeeper's raise = $0.76

To calculate the amount she now earns after the raise, add the 8% rise to the initial value:

0.76 + 9.50 = $10.26

5 0
2 years ago
you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you ma
LenaWriter [7]

11 hours because I did the math

7 0
3 years ago
Please help me if you can
MA_775_DIABLO [31]

Answer:

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Step-by-step explanation:

We have a point a (0,20) and a point at (2 , 20.05)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (20.05-20)/(2-0)

   = .05/2

     =.025

One of the points (0,20) is the y intercept  since x=0

We can use the slope intercept form of the equation

y= mx+b

y = .025x +20


The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

3 0
3 years ago
Read 2 more answers
A bucket holds b liters of water. But a jar holds 8 fewer liters than the bucket. How many times can the bucket hold than the ja
kykrilka [37]

Answer:

b / (b - 8)

Step-by-step explanation:

Given that :

Litres of water held by bucket = b

Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8

The number of times bucket can hold than jar is :

Litres held by bucket / litres held by jar

b / (b - 8)

8 0
3 years ago
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